Let y(x) be the solution for the DE: y = (x+y+ 2)2 If y(0) = -2, then find y() %3D

Q: (x² + y²)dx – xydy = 0 -

A:

Q: 1. Given the initial values are xo =2 and x, =3, find the solution x3 for f(x)=x -6 by using %3D %3D…

A:

Q: y" + 2y' + y = x at x = 0, y = -3, and x = 1, y = -1

A:

Q: (x – x² – y²)dx + (y + x² + y²)dy = 0

A:

Q: (b) Use the method of complementary functions and particular solutions, to determine the general…

A:

Q: The general solution of y" - 2y' +y= e* cos(x) is

A:

Q: 2) A: By using partial method solve [2x² cos x dx

A:

Q: 1- xy = y+ x² sin x , y(n) = 0

A:

Q: (x – x2 – y²)dx + (y + x² + y?)dy = 0

A:

Q: - y" + 5y' = 0

A:

Q: dy =x+3x + e2x dx 1. Solve the initial value problem when x-0. y-2.

A: The given differential equation is solved by variable separable method.

Q: [  (1+ xsiny)dx - x2cosydy = 0  ] How can I find the solution "y" of this equation?

A: We shall use basic knowledge of first order ordinary differential equations to solve this question.…

Q: Find the general solution using reduction of order.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find te goneral solution: (x e - ) dy

A: We have to find the general solution of the differential equation ey-yexdx+xey-exdy=0 .

Q: 1. Find the general solution of dy dx + y = x

A:

Q: The solution of y" + y = 0 with initial conditions y (0) = 1 and =2 is にI2

A:

Q: Find the particular solution that satisfies the initial condition(s). y = C, + C2 In x xy" + y' = 0…

A:

Q: Example: Consider the D.E (y²+x)dx+(yx² + y)dy = 0.We separate the dependant and independent…

A: given Differential equation(xy2+x)dx+(yx2+y))dy=0rewritex(y2+1)dx=y(x2+1))dyseparating…

Q: (2y +4x)dx- xydy=0 y(1)= -2

A:

Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

Q: (a) Find the general solution of the equation (x – 2) + dy 3(x – 1) -y = 1 dx (x + 1) (b) Given the…

A:

Q: 1. Find the general solution of dy dx +y=x

A:

Q: The solution of y" + y = 0 with initial conditions y (0) = 1 and %3D y = 2 is

A:

Q: -672-(6)z금 dy dz

A: Simple p.I. of d. E. Problem......

Q: y""+y" = 3x² + sin x - 2 cos x

A:

Q: (x-2y) dx + (2x+y) dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

A:

Q: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

Q: Solve for general solution using Bernoulli method x?y dx + (1+ x³)dy = 0

A: x2ydx+(1+x3)dy=0dydx+(x21+x3)y=0.which is in the form of burnouli's equationdydx+Py=Qynhere P=x21+x3…

Q: a. Solve the initial value problem dx with y(0) = 4. Use t as the variable of integration in the…

A: I have solved using separation of vsriable method

Q: x³ +x² + x + 3 dx. J (x² + 1)(x² + 3)

A: Given,           ∫x3+x2+x+3x2+1x2+3dx

Q: 2(y- 4X²)dx + x dy =o SOLVE THE PROBLEM USING INTEGRATION FUNCTION

A:

Q: Example 5: dy Find the particular solution of, y(1+x²)÷= 2x(1 – у?); y(0) = 0 dx

A:

Q: x + 7 Solve the integral dx using partial fractions (x+1)²

A:

Q: Let y = y(x) be the solution to the initial value problem dy _ y? + x /x² + y2 (x > 0); y(1) = V3.…

A:

Q: ion of y''- 6 y' + 9 y = 1/x

A: y''-6y'+9y=1x Auxiliary equation is;- m2-6m+9y=0m2-6m+9=0m-3m-3=0m=3,3

Q: y? dy In Vy² + 3 +y V3 y +C 5. (y? + 3)7 /y2 +3

A:

Q: 4. (a) dzy Solve: dx2 + ( = 0. (b) Solve xy" + (1 – x)y' – 2(1+x)y = e-*(1 – 6x) by the method based…

A: We have, d2ydx2+dydx+dydx3=0 ..i Put dydx=v ⇒d2ydx2=dvdx Now substitute in equation i we get…

Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

A:

Q: e general solution to the DE  is(6x+y2)dx+y(2x-3y)dy

A:

Q: dx -x + 2xy dt dy y – x² – y? dt ||

A: According to the given information, it is required to find the critical points for the given system.

Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

A:

Q: (2xy +y) dx + (x²- x ) dy = 0

A: Given: (2xy+y)dx+(x2-x)dy=0, y(0)=e

Q: is e^(-3y) is the integrating factor of the FOLDE y'-3y=6, show your solution.

A:

Q: 9. Find the general solution of (D² +µ)y = 0, satisfying the boundary conditions y(0) = b and y(L) =…

A:

Q: Xy"+y=0. solve by forbenius method.

A:

Q: xcsc (y/x) -y]dx + xdy=0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

A: Given: The given equation is xcscyx-ydx+xdy=0. To find: The main aim is to prove that the given…

Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Let y = y(x) be the solution to the initial value problem %3D dy _ y? + x /x² + y² (x > 0); y(1) =…

A: We will first find the solution

Q: Find a solution for y' (y- x), y(0) = 0, h = 0.1 using Modified Euler's Method. Hint: do 5 steps…

A: Given differential equation, y'=y-x2,y0=0, h=0.1 To find the solution using Modified Euler's method.